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On directed Barabasi-Albert networks with two and seven neighbours selected by each added site, the Ising model was seen not to show a spontaneous magnetisation. Instead, the decay time for flipping of the magnetisation followed an…

物理与社会 · 物理学 2009-11-11 F. W. S. Lima

In this paper, we investigate phase transitions in the Majority-Vote model coupled with noise layers of different structures. We examine the Square lattice and Random-regular networks, as well as their combinations, for both vote layers and…

物理与社会 · 物理学 2024-10-10 Wei Liu , Jincheng Wang , Fangfang Wang , Kai Qi , Zengru Di

We analyze the properties of the majority-vote (MV) model with an additional noise in which a local spin can be changed independently of its neighborhood. In the standard MV, one of the simplest nonequilibrium systems exhibiting an…

统计力学 · 物理学 2018-12-05 J. M. Encinas , Hanshuang Chen , Marcelo M. de Oliveira , C. E. Fiore

In this work we study the opinion formation in a voter-like model defined on a square lattice of linear size $L$. The agents may be in three different states, representing any public debate with three choices (yes, no, undecided). We…

物理与社会 · 物理学 2013-07-18 Nuno Crokidakis

The majority-voter model is studied by Monte Carlo simulations on hypercubic lattices of dimension $d=2$ to 7 with periodic boundary conditions. The critical exponents associated to the Finite-Size Scaling of the magnetic susceptibility are…

统计力学 · 物理学 2023-07-26 Christophe Chatelain

We study the dynamics of the out-of-equilibrium nonlinear q-voter model with two types of susceptible voters and zealots, introduced in [EPL 113, 48001 (2016)]. In this model, each individual supports one of two parties and is either a…

物理与社会 · 物理学 2017-01-06 Andrew Mellor , Mauro Mobilia , R. K. P. Zia

We introduce the voter model on the infinite lattice with a slow membrane and investigate its hydrodynamic behavior and nonequilibrium fluctuations. The model is defined as follows: a voter adopts one of its neighbors' opinion at rate one…

概率论 · 数学 2023-02-07 Xiaofeng Xue , Linjie Zhao

The majority-vote model with noise is one of the simplest nonequilibrium statistical model that has been extensively studied in the context of complex networks. However, the relationship between the critical noise where the order-disorder…

物理与社会 · 物理学 2016-09-13 Hanshuang Chen , Chuansheng Shen , Gang He , Haifeng Zhang , Zhonghuai Hou

We investigate the q-voter model with stochastic noise arising from independence on complex networks. Using the pair approximation, we provide a comprehensive, mathematical description of its behavior and derive a formula for the critical…

物理与社会 · 物理学 2018-05-01 Arkadiusz Jędrzejewski

We perform short-time Monte Carlo simulations to study the criticality of the isotropic two-state majority-vote model on cubic lattices of volume $N = L^3$, with $L$ up to $2048$. We obtain the precise location of the critical point by…

We discuss the short-time behavior of the majority vote dynamics on scale-free networks at the critical threshold. We introduce a heterogeneous mean-field theory on the critical short-time behavior of the majority-vote model on scale-free…

In this work we study the critical behavior of a three-state opinion model in the presence of noise. This noise represents the independent behavior, that plays the role of social temperature. Each agent on a regular D-dimensional lattice…

物理与社会 · 物理学 2017-03-14 Nuno Crokidakis

Axelrod's model in the square lattice with nearest-neighbors interactions exhibits culturally homogeneous as well as culturally fragmented absorbing configurations. In the case the agents are characterized by $F=2$ cultural features and…

物理与社会 · 物理学 2015-09-21 Lucas R. Peres , José F. Fontanari

We introduce an heterogeneous nonlinear $q$-voter model with zealots and two types of susceptible voters, and study its non-equilibrium properties when the population is finite and well mixed. In this two-opinion model, each individual…

物理与社会 · 物理学 2016-03-10 Andrew Mellor , Mauro Mobilia , R. K. P. Zia

We consider two consensus formation models coupled to Barabasi-Albert networks, namely the Majority Vote model and Biswas-Chatterjee-Sen model. Recent works point to a non-universal behavior of the Majority Vote model, where the critical…

物理与社会 · 物理学 2019-10-15 T. F. A. Alves , G. A. Alves , F. W. S. Lima , A. M. Filho

This note further studies the previously proposed consensus protocol for linear multi-agent systems with communication noises in [15], [16]. Each agent is allowed to have its own time-varying gain to attenuate the effect of communication…

系统与控制 · 计算机科学 2015-08-28 Long Cheng , Yunpeng Wang , Wei Ren , Zeng-Guang Hou , Min Tan

We present a numerical determination of the scaling functions of the magnetization, the suscep- tibility, and the Binders cumulant, for two nonequilibrium model systems with varying range of interactions. We consider Monte Carlo simulations…

统计力学 · 物理学 2015-06-17 C. I. N. Sampaio-Filho , F. G. B. Moreira

We study two variants of the modified Watts threshold model with a noise (with nonconformity, in the terminology of social psychology) on a complete graph. Within the first version, a noise is introduced via so-called independence, whereas…

物理与社会 · 物理学 2019-05-03 Bartłomiej Nowak , Katarzyna Sznajd-Weron

We formulate and investigate the nonlinear $q$-voter model (which as special cases includes the linear voter and the Sznajd model) on a one dimensional lattice. We derive analytical formula for the exit probability and show that it agrees…

统计力学 · 物理学 2015-05-28 Piotr Przybyła , Katarzyna Sznajd--Weron , Maciej Tabiszewski

Quantum voting, inspired by quantum game theory, provides a framework in which the quantum majority rule (QMR) constitution of Bao and Yunger Halpern [Phys. Rev. A 95, 062306 (2017)] violates the quantum analogue of Arrow's impossibility…

量子物理 · 物理学 2025-12-03 Gal Amit , Yuval Idan , Michael Suleymanov , Luis Razo , Eliahu Cohen